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Simplifying 5 + 3(x + -7) + -1(x + -1) = 0 Reorder the terms: 5 + 3(-7 + x) + -1(x + -1) = 0 5 + (-7 * 3 + x * 3) + -1(x + -1) = 0 5 + (-21 + 3x) + -1(x + -1) = 0 Reorder the terms: 5 + -21 + 3x + -1(-1 + x) = 0 5 + -21 + 3x + (-1 * -1 + x * -1) = 0 5 + -21 + 3x + (1 + -1x) = 0 Reorder the terms: 5 + -21 + 1 + 3x + -1x = 0 Combine like terms: 5 + -21 = -16 -16 + 1 + 3x + -1x = 0 Combine like terms: -16 + 1 = -15 -15 + 3x + -1x = 0 Combine like terms: 3x + -1x = 2x -15 + 2x = 0 Solving -15 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 2x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = 0 + 15 2x = 0 + 15 Combine like terms: 0 + 15 = 15 2x = 15 Divide each side by '2'. x = 7.5 Simplifying x = 7.5
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